Write the Binomial Expansion of the Expression $$( 5 x + 3 ) ^ { 3 }$$

question 371

Multiple Choice

Write the binomial expansion of the expression.
- $$( 5 x + 3 ) ^ { 3 }$$

• A) \(125 x ^ { 3 } + 225 x ^ { 2 } + 225 x + 27\)
• B) \(25 x ^ { 2 } + 30 x + 9\)
• C) \(125 x ^ { 3 } + 225 x ^ { 2 } + 135 x + 27\)
• D) \(25 x ^ { 6 } + 15 x ^ { 3 } + 729\)

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Definitions:

Vagus

A cranial nerve that is responsible for various functions including heart rate, digestion, and regulation of several physiological processes.

Obturator

Refers to structures, such as the obturator foramen or muscles, covering or closing an opening, specifically in the pelvis.

Phrenic

Pertaining to the diaphragm, such as the phrenic nerve which controls the diaphragm muscle, thus playing a vital role in the breathing process.

Brachial Plexus

A network of nerve fibers that runs from the spine, through the neck, to the axilla, and innervates the upper limb.